Large N non-perturbative effects in $\mathcal{N}=4$ superconformal Chern-Simons theories

Abstract

We investigate the large $N$ instanton effects of partition functions in a class of $\mathcal{N}=4$ circular quiver Chern-Simons theories on a three-sphere. Our analysis is based on the supersymmetry localization and the Fermi-gas formalism. The resulting matrix model can be regarded as a two-parameter deformation of the ABJM matrix model, and has richer non-perturbative structures. Based on a systematic semi-classical analysis, we find analytic expressions of membrane instanton corrections. We also exactly compute the partition function for various cases and find some exact forms of worldsheet instanton corrections, which appear as quantum mechanical non-perturbative corrections in the Fermi-gas system.

35+18 pages, 3 figures; v2: minor corrections

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Cited by in corpus (10)

• Instanton effects in ABJM theory with general R-charge assignments
• Instanton Effects in Orientifold ABJM Theory
• Exact Instanton Expansion of ABJM Partition Function
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• Two-Point Functions in ABJM Matrix Model
• Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
• Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
• Brane Transitions from Exceptional Groups
• Duality Cascades and Affine Weyl Groups